Multiplying Two Binomials
Expand and Simplify
(x+8)(x-9)
x2 - x - 72
Find the GCF:
1. 15, 10, 20
2. 3x, 6, 18x2
3. 4x, 12x2, 20x3, 40x5
1. GCF = 5
2. GCF = 3
3. GCF = 4x
Define the difference of squares.
A difference of squares has 2 terms that can each be "rooted" AND there is a subtraction sign.
What are two numbers where the sum is 8 and the product is 15
Positive 3 and Positive 5
Expand the following square
(2x + 3)2
4x2+12x+9
Factor the following:
7x2 - 14x -21
7(x2 - 2x - 3)
Which are difference of squares:
a) x2 - 45
b) 100 - 4x2
c) x2 - 9
a is not a difference of squares because 45 cannot be rooted.
Factor the following:
a) x2 + 2x - 15
b) x2 - 6x - 16
a) (x + 5)(x - 3)
b) (x - 8)(x + 2)
Is this correct?
(2x - 3)(x + 7) = 2x2 - 11x + 21
The correct answer is: 2x2 + 11x - 21
Flipped the signs around.
Fully Factor the following:
6b5 + 30b3 + 12b2 - 18b
6b(b4 + 5b2 + 2b - 3)
Factor, then expand to check answer:
a) x2 - 36
b) 81x2 - 100
a) (x + 6)(x - 6)
Expanded: x2 - 36
b) (9x + 10)(9x-10)
Expanded: 81x2 - 100
Factor Fully
a) 4x2 + 40x + 36
b) 2x2 + 2x - 24
a) 4(x2 + 10x + 9)
b) 2(x + 4)(x - 3)
Area Problem
On Google Doc
Perimeter Problem
On Google Doc
Fully Factor the following 2 Problems:
a) 18x2 - 50
b) 12x4 - 3x2
a) = 2(9x2 - 25)
= 2(3x - 5)(3x + 5)
b) = 3x2(4x2 - 1)
= 3x2(2x + 1)(2x - 1)
Rectangle Problem
On Gogle Doc